Math  /  Algebra

QuestionVideo
Find the yy-intercept of the line y=87x3y=-\frac{8}{7} x-3 Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair. \square Submit Work it out

Studdy Solution

STEP 1

1. The equation of the line is given in slope-intercept form: y=mx+b y = mx + b .
2. The y y -intercept is the value of y y when x=0 x = 0 .
3. The y y -intercept is represented by the constant term b b in the equation.

STEP 2

1. Identify the slope-intercept form of the equation.
2. Determine the y y -intercept from the equation.
3. Verify the interpretation of the y y -intercept.

STEP 3

Recognize that the equation y=87x3 y = -\frac{8}{7}x - 3 is in the slope-intercept form y=mx+b y = mx + b , where m m is the slope and b b is the y y -intercept.

STEP 4

Identify the y y -intercept from the equation. In the equation y=87x3 y = -\frac{8}{7}x - 3 , the y y -intercept b b is 3-3.

STEP 5

Verify that when x=0 x = 0 , the equation simplifies to y=3 y = -3 , confirming that the y y -intercept is indeed 3-3.
The y y -intercept of the line is:
3 \boxed{-3}

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